As I did with last year / yesterday, I’ve written up a series of posts for the Advent of Code 2017 problems. Again, I didn’t manage to write them up as I did them, but this time around I least I finished mostly on time.

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Source: The Halting Problem

Part 1: Implement a Turing machine defined as such:

Begin in state A. Perform a diagnostic checksum after 6 steps.

In state A: If the current value is 0: - Write the value 1. - Move one slot to the right. - Continue with state B. If the current value is 1: - Write the value 0. - Move one slot to the left. - Continue with state B.

…

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Source: Electromagnetic Moat

Part 1: Given a series of reversible components of the form 3/4 (can connect a 3 on one end to a 4 on the other), form a bridge of components. The bridge’s strength is equal to the sum of component values. So 0/3, 3/7, and 7/4 has a strength of 0+3 + 3+7 + 7+4 = 24.

What is the strongest possible bridge?

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Source: Coprocessor Conflagration

Part 1: Create a variation of the previous DuetVM with only the following four instructions:

• set X Y sets register X to Y
• sub X Y set register X to X - Y
• mul X Y sets register X to X * Y
• jnz X Y jumps with an offset of the value of Y, iff X is not equal to zero

If you run the given program, how many times is mul invoked?

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Source: Sporifica Virus

Part 1: Implement a cellular automaton on an infinite grid of . and # pixels such that:

1. Start at (0, 0), facing Up
2. Repeat:

• If the cursor is on . swap it to # and turn Left
• If the cursor is on # swap it to . and turn Right
• Either way, after turning, move forward once

After 10,000 iterations, how many pixels were turned from . to #?

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Source: Fractal Art

Part 1: Start with an input image made of . and # pixels. For n iterations, break the image into blocks:

• If the current size is even, break the image into 2x2 chunks and replace each with a 3x3 chunk
• If the current size is odd, break the image into 3x3 chunks and replace each with a 4x4 chunk

The replacement rules will be specified in the following format (example is a 3x3 -> 4x4 rule):

.#./..#/### => #..#/..../..../#..#  

In that example, replace this:

.#.
..#
###

With this:

#..#
....
....
#..#

Any rotation or reflection of a chunk can be used to match the input of a replacement rule.

After n = 18 iterations, how many # pixels are there?

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Source: Particle Swarm

Part 1: Given the initial position, velocity, and acceleration of a large number of particles, which particle will stay the closet to the origin as the simulation runs to infinity?

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Source: A Series of Tubes

Part 1: Take a network diagram of the following form:

|          
|  +--+    
A  |  C    

F—|–|-E—+ | | | D +B-+ +–+

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Source: Duet

Part 1: Create a virtual machine with the following instruction set:

• snd X plays a sound with a frequency equal to the value of X
• set X Y sets register X to Y
• add X Y set register X to X + Y
• mul X Y sets register X to X * Y
• mod X Y sets register X to X mod Y
• rcv X recovers the frequency of the last sound played, if X is not zero
• jgz X Y jumps with an offset of the value of Y, iff X is greater than zero

In most cases, X and Y can be either an integer value or a register.

What is the value recovered by rcv the first time X is non-zero?

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Source: Spinlock¹

Part 1: Start with a circular buffer containing [0] and current_position = 0. For n from 1 up to 2017:

1. Step forward steps (puzzle input)
2. Input the next value for n, set current_position to n, increment n
3. Repeat

What is the value after 2017?

It’s a bit weird to describe, but the given example helps (assume steps = 3):

(0)
0 (1)
0 (2) 1
0  2 (3) 1
0  2 (4) 3  1
0 (5) 2  4  3  1
0  5  2  4  3 (6) 1
0  5 (7) 2  4  3  6  1
0  5  7  2  4  3 (8) 6  1
0 (9) 5  7  2  4  3  8  6  1

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